Question

by what number should (5/4)^-2 be divided, so that the quotient (1/2)^-3?

Answer 1

Answer:

Step-by-step explanation:

5/4^-2 ÷x = 1/2^-3

4/5^2 ÷ x = 2^3

16/25 ÷ x = 8

16/25 = 8x

16/(25×8) = x

2/25 = x

Answer 2

Answer:

x=2/25

Step-by-step explanation:

Let the number be 'x'

A/Q. (5/4)^-2 ÷ x = (1/2)^-3

=> (4/5)^2 ÷ x = 2^3

=> 16/25 ÷ x = 8

=> 16/25 = 8x

=> 8x = 16/25

=> x = 16/25×8

=> x = 16/200

=> x = 2/25 [By division]

Therefore x = 2/25 ✓✓

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